How can I move tracking markers along the timeline?
Tracking points are uniquely associated to the clip and to every frame.
The tracking points in the graphs and dopesheet are just for information and to visualize possible errors, and are thus not editable.
By offsetting, you are altering the relationship between the tracked elements and the actual content of the image.
The usual workflow for vfx shots is that they rendered separately and integrated to the edit later.
If you are only dealing with masks, render the masks as black and white images, and import them to the video editing app and use them for keying and further compositing.